10001020100201 has 12 divisors (see below), whose sum is σ = 10982035252800. Its totient is φ = 9101686754160.

The previous prime is 10001020100191. The next prime is 10001020100209. The reversal of 10001020100201 is 10200102010001.

It is a de Polignac number, because none of the positive numbers 2^k-10001020100201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001020100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416731901 + ... + 416755898.

It is an arithmetic number, because the mean of its divisors is an integer number (915169604400).

Almost surely, 2^{10001020100201} is an apocalyptic number.

It is an amenable number.

10001020100201 is a deficient number, since it is larger than the sum of its proper divisors (981015152599).

10001020100201 is an equidigital number, since it uses as much as digits as its factorization.

10001020100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833487896 (or 833487883 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001020100201 its reverse (10200102010001), we get a palindrome (20201122110202).

The spelling of 10001020100201 in words is "ten trillion, one billion, twenty million, one hundred thousand, two hundred one".